480723517440 has 1440 divisors, whose sum is σ = 1923616880640. Its totient is φ = 114661785600.

The previous prime is 480723517433. The next prime is 480723517451. The reversal of 480723517440 is 44715327084.

480723517440 is a `hidden beast` number, since 480 + 72 + 35 + 1 + 74 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×480723517440³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11724963820 + ... + 11724963860.

It is an arithmetic number, because the mean of its divisors is an integer number (1335845056).

Almost surely, 2^480723517440 is an apocalyptic number.

480723517440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480723517440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961808440320).

480723517440 is an abundant number, since it is smaller than the sum of its proper divisors (1442893363200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480723517440 is an equidigital number, since it uses as much as digits as its factorization.

480723517440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 480723517440 in words is "four hundred eighty billion, seven hundred twenty-three million, five hundred seventeen thousand, four hundred forty".